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10064720 = 245971297
BaseRepresentation
bin100110011001…
…001101010000
3200221100012102
4212121031100
510034032340
6555415532
7151356131
oct46311520
920840172
1010064720
115754856
1234545a8
132115173
14149dc88
15d3c215
hex999350

10064720 has 40 divisors (see below), whose sum is σ = 23659944. Its totient is φ = 3981312.

The previous prime is 10064707. The next prime is 10064723. The reversal of 10064720 is 2746001.

It can be written as a sum of positive squares in 4 ways, for example, as 3794704 + 6270016 = 1948^2 + 2504^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10064692 and 10064701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10064723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7112 + ... + 8408.

Almost surely, 210064720 is an apocalyptic number.

10064720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10064720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11829972).

10064720 is an abundant number, since it is smaller than the sum of its proper divisors (13595224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10064720 is a wasteful number, since it uses less digits than its factorization.

10064720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 10064720 is about 3172.4942868349. The cubic root of 10064720 is about 215.9072532774.

The spelling of 10064720 in words is "ten million, sixty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1297 1552 1940 2594 3880 5188 6485 7760 10376 12970 20752 25940 51880 103760 125809 251618 503236 629045 1006472 1258090 2012944 2516180 5032360 10064720